Relativization of Star-C-Hurewicz Property in Topological Spaces

Bhardwaj, Manoj; Tyagi, B. K.; Singh, Sumit

doi:10.1007/s41980-019-00315-2

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Star-hurewicz Basis Property and Star-hurewicz Measure Zero Property In Metrizable Spaces1

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2020

2024

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Cited by 5 publications

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“…For the implication, we need the following definition. Definition 3.3 [12] Let A and B be families of subsets of the infinite set S . Then CDR ⋆ sub f in (A, B) denotes the statement that for each sequence < A n : n ∈ ω > of elements of A there is a sequence < B n : n ∈ ω > such that for each n , B n ⊆ A n and for m ̸ = n and for each finite subset…”

Section: Star-hurewicz Basis Property and Star-hurewicz Measure Zero Property In Metrizable Spacesmentioning

confidence: 99%

Star versions of the Hurewicz basis covering property and strong measure zero spaces

Bhardwaj

Osipov²

2020

Turk J Math

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In this paper, we introduced the star version of the Hurewicz basis covering property, studied by Babinkostova, Koč inac, and Scheepers in 2004. The authors obtained the relationship between star-selection principles and the star version of the Hurewicz basis covering property for metrizable spaces. We also consider the star version of Hurewicz measure zero spaces and characterized these new spaces by the star-selection principle related to star-Hurewicz spaces.

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Section: Star-hurewicz Basis Property and Star-hurewicz Measure Zero Property In Metrizable Spacesmentioning

confidence: 99%